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Finding the Third Proportional to 203,478 and 299,334

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Solution

The third proportional to 203,478 and 299,334 is: 440,346.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,478 : 299,334 = 299,334 : x
  2. Step 2: Convert to fraction form
    203,478/299,334 = 299,334/x
  3. Step 3: Cross multiply
    203,478x = 299,334 × 299,334
  4. Step 4: Simplify right side
    203,478x = 89,600,843,556
  5. Step 5: Solve for x
    x = 89,600,843,556/203,478
  6. Step 6: Final answer
    x = 440,346.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.